Orthogonal Decomposition in Omega-Weighted Classes of Functions Subharmonic in the Half-Plane

Armen Jerbashian; Daniel Vargas

Publicado

2018-01-01

Orthogonal Decomposition in Omega-Weighted Classes of Functions Subharmonic in the Half-Plane

Descomposición ortogonal de funciones subharmónicas en el semiplano por medio de clases omega-pesadas

Palabras clave:

Subharmonic functions, orthogonal decomposition, potentials (en)
Funciones subarmónicas, descomposición ortogonal, potenciales (es)

Descargas

PDF

Autores/as

Armen Jerbashian Universidad de Antioquia
Daniel Vargas Universidad de Antioquia

Resumen (en)
Resumen (es)

The paper gives a harmonic, ω-weighted, half-plane analog of W. Wirtinger's projection theorem and its (1 - r)^α-weighted extension by M. Djrbashian and also an orthogonal decomposition for some classes of functions subharmonic in the half-plane.

El artículo da un análogo armónico ω-pesado en el semiplano del teorema de proyección de W. Wirtinger's (1 - r)^α-pesada establecida por M. Djrbashian Tambié es hallada una descomposición ortogonal para algunas clases de funciones subarmónicas en el semiplano.

Citas

M. Djrbashian, On the representability problem of analytic functions, Soobsch. Inst. Matem. i Mekh. Akad. Nauk Arm. SSR 2 (1948).

A. Jerbashian, Functions of a-Bounded Type in the Half-Plane, Advances

in Complex Analysis and Applications, Springer, 2005.

A. Jerbashian, On A^p_w,l Spaces in the Half-Plane, in: Operator Theory: Advances and Applications 158 (2005), 141-158, Birkhäuser Verlag, Basel/Switzerland.

A. Jerbashian, Orthogonal decomposition of functions subharmonic in the unit disc, in: Operator Theory: Advances and Applications 190 (2009), 335-340, Birkhäuser Verlag, Basel/Switzerland.

A. Jerbashian and V. Jerbashian, Functions of !-bounded type in the half-plane, Calculation Methods and Function Theory (CMFT) 7 (2007), no. 2, 205-238.

P. Koosis, Introduction to H_p spaces, Cambridge University Press, 1998.

J. Walsh, Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc. Coll. Publ. XX, Edwards Brothers, Inc.,

Ann Arbor, Michigan, 1956.

W. Wirtinger, Über eine Minimumaufgabe im Gebiet der analytischen Functionen, Monatshefte für Math. und Phys. 39 (1932).